Question

what is the area of the shaded region? 29 mi 15 mi 21 mi 39 mi write your answer as a whole number or a decimal rounded to the nearest hundredth. square miles

Explanation:

Step1: Calculate area of large triangle

The formula for the area of a triangle is $A = \frac{1}{2} \times base \times height$. For the large triangle, base = 39 mi and height = 29 mi.
$A_{large} = \frac{1}{2} \times 39 \times 29$
$A_{large} = \frac{1}{2} \times 1131 = 565.5$ square miles.

Step2: Calculate area of small triangle

For the small triangle, base = 21 mi and height = 15 mi.
$A_{small} = \frac{1}{2} \times 21 \times 15$
$A_{small} = \frac{1}{2} \times 315 = 157.5$ square miles.

Step3: Subtract to find shaded area

Shaded area = $A_{large} - A_{small}$
Shaded area = $565.5 - 157.5 = 408$ square miles.

Answer:

408